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Finding the Fourth Proportional to 4,832.26, 6,668.12 and 2,842.90

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Solution

The fourth proportional to 4,832.26, 6,668.12 and 2,842.90 is: 3,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.26 : 6,668.12 = 2,842.90 : x
  2. Step 2: Convert to fraction form
    4,832.26/6,668.12 = 2,842.90/x
  3. Step 3: Cross multiply
    4,832.26x = 6,668.12 × 2,842.90
  4. Step 4: Simplify right side
    4,832.26x = 18,956,798.35
  5. Step 5: Solve for x
    x = 18,956,798.35/4,832.26
  6. Step 6: Final answer
    x = 3,922.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.